2917728 has 96 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 881280.

The previous prime is 2917723. The next prime is 2917753. The reversal of 2917728 is 8277192.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2917692 and 2917701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2917723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9351 + ... + 9657.

It is an arithmetic number, because the mean of its divisors is an integer number (97020).

2^2917728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2917728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

2917728 is an abundant number, since it is smaller than the sum of its proper divisors (6396192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2917728 is a wasteful number, since it uses less digits than its factorization.

2917728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 323 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 2917728 is about 1708.1358259811. The cubic root of 2917728 is about 142.8943095677.

Subtracting from 2917728 its product of digits (14112), we obtain a square (2903616 = 1704²).

The spelling of 2917728 in words is "two million, nine hundred seventeen thousand, seven hundred twenty-eight".